GCD of 144, 110, 559, 982 Calculator

Given Input numbers are 144, 110, 559, 982

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 144

List of positive integer divisors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 110

List of positive integer divisors of 110 that divides 110 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110

Divisors of 559

List of positive integer divisors of 559 that divides 559 without a remainder.

1, 13, 43, 559

Divisors of 982

List of positive integer divisors of 982 that divides 982 without a remainder.

1, 2, 491, 982

Greatest Common Divisior

We found the divisors of 144, 110, 559, 982 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 144, 110, 559, 982 is 1.

Therefore, GCD of numbers 144, 110, 559, 982 is 1

Given Input Data is 144, 110, 559, 982

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 110 is 2 x 5 x 11

Prime Factorization of 559 is 13 x 43

Prime Factorization of 982 is 2 x 491

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(144, 110) = 7920

GCD(144, 110) = ( 144 x 110 ) / 7920

GCD(144, 110) = 15840 / 7920

GCD(144, 110) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 559

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 559) = 1118

GCD(2, 559) = ( 2 x 559 ) / 1118

GCD(2, 559) = 1118 / 1118

GCD(2, 559) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 982

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 982) = 982

GCD(1, 982) = ( 1 x 982 ) / 982

GCD(1, 982) = 982 / 982

GCD(1, 982) = 1

GCD of 144, 110, 559, 982 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 115, 777, 836, 341
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1. What is the GCD of 144, 110, 559, 982?

GCD of 144, 110, 559, 982 is 1

2. Where do I get the detailed procedure to find GCD of 144, 110, 559, 982?

You can find a detailed procedure to find GCD of 144, 110, 559, 982 on our page.

3. How to find GCD of 144, 110, 559, 982 on a calculator?

You can find the GCD of 144, 110, 559, 982 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.